A Cycle Was Sold At A Gain Of 10%. Had It Been Sold For ₹260 More, The Gain Would Have Been 14%. Find The Cost Price Of The Cycle.

Let x be the cost price of the cycle

Selling price when the cycle is sold at a gain of 14%

= 14x/100 = 114x/100

Selling price when cycle is sold at gain of 10%

= 114x/100 = 110x/100 = 260

= 4x/100 = 260

= x(260 * 100) / 4

= x(26000) / 4

= 6500

Therefore, the cost price of the cycle is Rs.6500

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